Pre-Algebra Examples

$2 (3 y - 5) = x$

Step 1

The standard form of a linear equation is $A x + B y = C$ .

Step 2

Simplify the left side.

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Step 2.1

Simplify $2 (3 y - 5)$ .

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Step 2.1.1

Apply the distributive property.

$2 (3 y) + 2 \cdot - 5 = x$

Step 2.1.2

Multiply.

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Step 2.1.2.1

Multiply $3$ by $2$ .

$6 y + 2 \cdot - 5 = x$

Step 2.1.2.2

Multiply $2$ by $- 5$ .

$6 y - 10 = x$

Step 3

Rewrite the equation.

$x = 6 y - 10$

Step 4

Subtract $6 y$ from both sides of the equation.

$x - 6 y = - 10$

Step 5